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Finding the Fourth Proportional to 321.42, 443.61 and 197.12

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Solution

The fourth proportional to 321.42, 443.61 and 197.12 is: 272.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.42 : 443.61 = 197.12 : x
  2. Step 2: Convert to fraction form
    321.42/443.61 = 197.12/x
  3. Step 3: Cross multiply
    321.42x = 443.61 × 197.12
  4. Step 4: Simplify right side
    321.42x = 87,442.19
  5. Step 5: Solve for x
    x = 87,442.19/321.42
  6. Step 6: Final answer
    x = 272.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.